Critical exponent nu of the self-avoiding walks on plane X and checkerboard fractal families

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, , Citation S Elezovic-Hadzic and S Milosevic 1992 J. Phys. A: Math. Gen. 25 4095 DOI 10.1088/0305-4470/25/15/017

0305-4470/25/15/4095

Abstract

The authors have studied the critical exponent nu associated with the mean squared end-to-end distance of self-avoiding walks on the two-dimensional X and checkerboard fractal families. By means of exact renormalization group transformations they have calculated nu for the first four members of each family.

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10.1088/0305-4470/25/15/017